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Finding the Fourth Proportional to 16,913.40, 25,370.10 and 8,149.20

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Solution

The fourth proportional to 16,913.40, 25,370.10 and 8,149.20 is: 12,223.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,913.40 : 25,370.10 = 8,149.20 : x
  2. Step 2: Convert to fraction form
    16,913.40/25,370.10 = 8,149.20/x
  3. Step 3: Cross multiply
    16,913.40x = 25,370.10 × 8,149.20
  4. Step 4: Simplify right side
    16,913.40x = 206,746,018.92
  5. Step 5: Solve for x
    x = 206,746,018.92/16,913.40
  6. Step 6: Final answer
    x = 12,223.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.